Sample course syllabus for research methods, data analysis. Stat 506 sampling theory and methods angel department of statistics eberly college of science home lesson 3. Sampling theory and methods flashcards from jules l. Penn state stat 506 sampling theory and methods course materials. One of the popular method to estimate the total number of individuals in a population is by capturerecapture sampling. Stat 506 sampling theory and methods 3 credits stat 507 epidemiologic research methods 3 credits stat 508 applied data mining and statistical learning 3 credits stat 509 design and analysis of clinical trials 3 credits stat 510 applied time series analysis 3 credits stat 480, 481, and 482 are 5week courses that. Sampling is the process of selecting a subset of observations from an entire population of interest so that characteristics from the subset sample can be used to draw conclusion or making. Statistics stat and techniques as synthesis of theory, methods, and applications. Sample designs for list frames or widespread populations. Population divided into different groups from which we sample randomly. Random sampling the first statistical sampling method is simple random sampling. Again, assume that an initial sample of x individuals is captured, tagged and released back into the population. Sampling theory and methods overview materials assessment plan prerequisites.
Topics such as simple random sampling, stratified random sampling and ratio and regression estimation are included. Sampling theory and methods 3 credits theory and application of sampling from. Good designs involve the use of probability methods, minimizing subjective judgment in the choice of units to survey. The estimate for mean and total are provided when the sampling scheme. The aim of this course is to cover sampling design and analysis methods that would be useful for research and management in many field. Sampling, frequency distributions z, t, x2, f, estimation, testing, and simulation. Theory based methods for modern data mining and machine learning, inference and prediction. To complete a basic two course sequence in conjunction with stat 515 or 509 in statistical techniques available to the general practitioner for analyzing experimental data. Sampling theory and methods stat 506 psu world campus, fall 2015 statistical concepts and reasoning stat 100, spring 2016 science outreach and communications sc 451 supervising, fall 201819.
Stat 505 applied multivariate stat stat 506 sampling stat 507 epidemiological methods stat 509 clinical trials stat 510 time series stat 897d data mining stat learning stat 555 stat analysis of genomic data stat 800 intro to applied stat electronic statistics text. This work is licensed under a creative commons attribution. A manual for selecting sampling techniques in research. When the second capture size is not predetermined, then we have. Hope that you enjoy the course and have a good semester. Theory and application of sampling from finite populations. Simple, stratified and unequal probability sampling with and without replacement.
Simple random sampling with associated estimation and confidence interval methods, selecting sample sizes, estimating proportions, unequal probability samping, ratio and regression estimation, stratified sampling, cluster and systematic sampling. Within sampling theory, it is customary to identify population and sample frame. Develops research and quantitative methods related to the design and analysis of epidemiological mostly observational. Systematic random sampling in this type of sampling method, a list of every member of population is created and then first sample element is randomly selected from first k elements. Stat statistics university of washington student records system report. To familiarize participants with sampling methods and their application. A second sample is obtained independently and it is noted how many of the individuals in that sample was marked.
To introduce students in many different disciplines to multiple regression and analysis of variance for basic experimental designs. For example, a tester could randomly select 5 inputs to a test case from the population of all. A manual for selecting sampling techniques in research 4 preface the manual for sampling techniques used in social sciences is an effort to describe various types of sampling methodologies that are used in researches of social sciences in an easy and understandable way. N in the output denotes numbers of data usually a sample is selected by some probability design from each of the l strata in the population, with selections in different strata independent of each other. Printerfriendly version reading assignment for lesson 6. In stratified sampling, the population is partitioned into nonoverlapping groups, called strata and a. Ap statistics a summary of sampling and sampling methods a summary of sampling and sampling methods page 2 sampling concepts populationtarget population. In stratified sampling, the population is partitioned into nonoverlapping groups. General randomization theory of simple and multistage sampling, sampling with and without replacement and with equal and unequal probabilities, ratio and regression estimates, analytical studies and multiframe problems in relation to stratification, systematic sampling, clustering and double sampling. In capturerecapture sampling, an initial sample is obtained and marked. To estimate the abundance of an animal population such as the deer population in the state of pennsylvania. The horvitzthompson estimator can be constructed for sampling.
When the population is periodic, the systematic sampling may be worse than the simple random sampling and the above formula will underestimate the variance since if the period k is chosen poorly. In our example, each corporation is a sampling unit of the population. In this method, each item in the population has the same probability of being selected as part of the sample as any other item. Here is output from minitab that describes the data from each stratum. Lectures on probability theory and mathematical statistics. The principal has enough time and money to obtain data for 20 students, and because the cost of sampling is the same in each stratum, he decides to use proportional allocation, which gives n 1 4, n 2 6, n 3 5, and n 4 5. A well designed sampling procedure ensures that we can summarize and analyze data with a minimum of assumptions and complications. Stat 512 design and data analysis for researchers ii stat 520 introduction to probability theory stat 521 stochastic processes i stat 530 mathematical statistics stat 540 data analysis and regression stat 560 applied multivariate analysis stat 675a topics in statistical methods.
Skalski theory and applications of sampling finite populations including. You can choose any one of the following book for your reference. Simple random sampling in an ordered systematic way, e. Introduces the theory and application of survival analysis. Students in stat 506 expected to carry out additional. Probability and nonprobability sampling in research methods. This is any complete, specified collection of study elements. Abstract we present the statistical theory of inventory and monitoring from a. Students in stat 504 are expected to carry out an additional project and report findings. A well designed sampling procedure ensures that we can summarize and analyze data with a minimum of assumptions and. Graduate certificate in applied statistics penn state world. Consideration will be given to the application of the theory in the context of survey sampling. Department of agriculture, forest service, rocky mountain research station. In particular, it investigates basic probability distributions and methods for assessing data collected from experimental and or observational studies in social science and other research settings.
Topics typically covered in stat 506 are basic methods of sampling and estimation including. Thereafter, every kth element is selected from the list. Advice for undergraduate students queens university. One important objective of statistics is to make inferences about a population. The sampling frame the sampling frame is the list of ultimate sampling entities, which may be people, households, organizations, or other units of analysis. This is the stat 506 online course materials website. What we covered already is the direct sampling of capturerecapture, i. May 21, 2017 view this short tutorial for six approaches to probability and nonprobability sampling procedures to help you with your research methods. Robert mnatsakanov, 417 hodges hall 2933607 ext 1061, email. Special matrix theory for statistics, multivariate normal distribution, distributions of quadratic forms, estimation and testing for the general linear model, oneway and twoway classification models, contrasts main effect, simple effect and interaction, multiple comparison techniques.
Proportionate allocation uses a sampling fraction in each of the strata that is proportional to that of the total population. Stat 506 sampling stat 507 epidemiological methods. Stat 506 sampling theory and methods angel department of. Sampling methods 11 methods, their use and limitations 11 selecting an appropriate method extracting the sample 14 interpreting and reporting the results 15 interpreting the results 15 reporting the results 17 glossary of terms 18 appendix 1 19 relevant formulae for simple random sampling. This lesson starts with an introduction to the course. Rollins school of public health biostatistics courses. Sampling double sampling is a twophase method of sampling for an. Cp statistics a summary of sampling and sampling methods. By applying some choice procedure to get a smaller subset of units, we. Samples drawn using probability methods are called probability samples. Statistical techniques for sampling and monitoring natural. Stat 506 sampling theory and method penn state eberly. Part 1 of cluster and systematic sampling stat 506. Nonprobability sampling methods are convenient and costsavvy.
Stat 800 applied research methods 3 this course provides students with a broad exploration of the tools and methods in applied statistics. About the aim of this course is to cover sampling design and analysis methods that would be useful for research and management in many field. A st applied statistics theory and methods of statistical inference. With this course participants will obtain a thorough understanding of statistical sampling theory.
Stat 506 sampling theory and method main content stat 506 chow. A sampling frame is a list of the actual cases from which sample will be drawn. Current topics selected from computational statistics, time series and spatial statistics, decision theory, sampling, linear and mixed models, and multivariate statistics. The special case where from each stratum a simple random sample is drawn is called a stratified random sample. Simple random sampling with associated estimation and confidence interval methods. In particular, it investigates basic probability distributions and methods for assessing data collected from experimental andor observational studies in social science and other research settings. Estimating population mean and total under simple random sampling. Statistics represents that body of methods by which characteristics of. When we use probability sampling, randomness will be built into the sampling designs so that properties of the estimators can be assessed probabilistically, e. Emphasis on understanding assumptions of the regression model, how to validate a selected model, when and how regression might be useful in different application areas, and interpreting output from statistical software packages. Every member of the population is equally likely to be selected. Also discussed are aspects of systematic sampling, cluster sampling, and multistage sampling. A practical guide to sampling national audit office.
Then, random sampling is conducted until x tagged individuals are recaptured. The use of superpopulation models is covered in detail along with. A statisticsmslevel introduction to modern multivariate statistical learning. Students must have immediate access to a printerscanner in order to scan hand written assignments into.
Introduction to sampling theory and data analysis these notes are meant to introduce the ocean scientist and engineer to the concepts associated with the sampling and analysis of oceanographic time series data, and the effects that the sensor, recorder, sampling plan and analysis can have on the results. Provides dual coverage of the theory and methods for dealing with the diversity of problems involving branching processes, random walks, poisson processes, birth and death processes, gibbs sampling, martingale counting processes, hidden markov chains, inference on semimarkov chains, and chain of events modeling. In addition to sampling schemes a number of estimating methods which include ratio and regression estimators are also discussed. Statistical techniques for sampling and monitoring natural resources. Sampling, measurement, distributions, and descriptive statistics basic unit of analysis, like an individual or corporation. Master of applied statistics eberly college of science.
Epidemiologic research methods 3 credits research and quantitative methods for analysis of epidemiologic observational studies. Sampling theory and methods presents in detail several sampling schemes like simple random sampling, unequal probability sampling methods, systematic, stratified, cluster and multistage sampling. Sampling theory and methods spring 2017 tues, thurs 10. The distinction between probability sampling and quota sampling is discussed.
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